Video footage appeared to show people storming the fast food outlet at Marble Arch and helping themselves to food on Tuesday (July 19) evening.
The looting happened on the same night a "water fight" in Hyde Park descended into violence, which resulted in a police officer and two other people being stabbed.
Detectives investigating the disorder at McDonald's have released images of 12 people they want to identify.
Warning to parents over illegal raves
The appeal came as the Met urged young people not to attend illegal raves and other unlicensed music events, telling them "it's simply not worth it".
Officers also called on parents to keep an eye on their children and ensure the events they are attending are above board.
They said if the event and venue details were not advertised well in advance, tickets were not sold or there was no published line-up of artist it was probably an unlicensed event.
"There will be no security, no first aid and no license. Illegal drugs and the previously so-called legal highs are prevalent at these events," they advised parents.
"Psychoactive substances were linked to more than 100 deaths last year in the UK alone and unfortunately young people are often the victims of this.
"They are advertised at short notice and often attract trouble. People have been seriously hurt and arrests are made - which has a huge impact on a youngster's future."
'Attending a rave could put yourself and friends in danger'
In their message to young people, police said: "London is a great cultural city with hundreds of reputable and professional venues, clubs and music events.
"So think carefully about attending an illegal event that could put you and your friends in danger and could have a serious impact on your future. By any measure it’s simply not worth it."
Anyone who recognises those pictured in the gallery is asked to call the investigating team on 020 8785 8244 quoting the reference number with the picture. You can also call Crimestoppers, free and anonymously, on 0800 555 111.